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We propose a training formulation for ResNets reflecting an optimal control problem that is applicable for standard architectures and general loss functions. We suggest bridging both worlds via penalizing intermediate outputs of hidden…

Machine Learning · Computer Science 2025-06-27 Jens Püttschneider , Simon Heilig , Asja Fischer , Timm Faulwasser

While gradient descent has proven highly successful in learning connection weights for neural networks, the actual structure of these networks is usually determined by hand, or by other optimization algorithms. Here we describe a simple…

Neural and Evolutionary Computing · Computer Science 2016-08-09 Thomas Miconi

Deep convolutional neural networks (DCNNs) have shown remarkable performance in image classification tasks in recent years. Generally, deep neural network architectures are stacks consisting of a large number of convolutional layers, and…

Computer Vision and Pattern Recognition · Computer Science 2017-09-07 Dongyoon Han , Jiwhan Kim , Junmo Kim

Predictive coding networks are neural models that perform inference through an iterative energy minimization process, whose operations are local in space and time. While effective in shallow architectures, they suffer significant…

Machine Learning · Computer Science 2025-10-13 Chang Qi , Matteo Forasassi , Thomas Lukasiewicz , Tommaso Salvatori

Scaling up network depth is a fundamental pursuit in neural architecture design, as theory suggests that deeper models offer exponentially greater capability. Benefiting from the residual connections, modern neural networks can scale up to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Dongchen Han , Tianzhu Ye , Zhuofan Xia , Kaiyi Chen , Yulin Wang , Hanting Chen , Gao Huang

While the optimization problem behind deep neural networks is highly non-convex, it is frequently observed in practice that training deep networks seems possible without getting stuck in suboptimal points. It has been argued that this is…

Machine Learning · Computer Science 2017-06-14 Quynh Nguyen , Matthias Hein

In our work, we bridge deep neural network design with numerical differential equations. We show that many effective networks, such as ResNet, PolyNet, FractalNet and RevNet, can be interpreted as different numerical discretizations of…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Yiping Lu , Aoxiao Zhong , Quanzheng Li , Bin Dong

ResNets (or Residual Networks) are one of the most commonly used models for image classification tasks. In this project, we design and train a modified ResNet model for CIFAR-10 image classification. In particular, we aimed at maximizing…

Computer Vision and Pattern Recognition · Computer Science 2023-06-22 Aditya Thakur , Harish Chauhan , Nikunj Gupta

We regard pre-trained residual networks (ResNets) as nonlinear systems and use linearization, a common method used in the qualitative analysis of nonlinear systems, to understand the behavior of the networks under small perturbations of the…

Machine Learning · Computer Science 2019-06-03 Kai Rothauge , Zhewei Yao , Zixi Hu , Michael W. Mahoney

Neural networks (NN)-based learning algorithms are strongly affected by the choices of initialization and data distribution. Different optimization strategies have been proposed for improving the learning trajectory and finding a better…

Machine Learning · Computer Science 2021-03-19 Yimeng Min

It has been observed that design choices of neural networks are often crucial for their successful optimization. In this article, we therefore discuss the question if it is always possible to redesign a neural network so that it trains well…

Machine Learning · Computer Science 2020-07-28 G. Welper

We show that standard ResNet architectures can be made invertible, allowing the same model to be used for classification, density estimation, and generation. Typically, enforcing invertibility requires partitioning dimensions or restricting…

Machine Learning · Computer Science 2019-05-21 Jens Behrmann , Will Grathwohl , Ricky T. Q. Chen , David Duvenaud , Jörn-Henrik Jacobsen

Despite the rapid progress of neuromorphic computing, inadequate capacity and insufficient representation power of spiking neural networks (SNNs) severely restrict their application scope in practice. Residual learning and shortcuts have…

Neural and Evolutionary Computing · Computer Science 2023-03-13 Yifan Hu , Lei Deng , Yujie Wu , Man Yao , Guoqi Li

It has become mainstream in computer vision and other machine learning domains to reuse backbone networks pre-trained on large datasets as preprocessors. Typically, the last layer is replaced by a shallow learning machine of sorts; the…

Machine Learning · Computer Science 2023-10-03 Haozhe Sun , Isabelle Guyon , Felix Mohr , Hedi Tabia

ResNet or DenseNet? Nowadays, most deep learning based approaches are implemented with seminal backbone networks, among them the two arguably most famous ones are ResNet and DenseNet. Despite their competitive performance and overwhelming…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Chaoning Zhang , Philipp Benz , Dawit Mureja Argaw , Seokju Lee , Junsik Kim , Francois Rameau , Jean-Charles Bazin , In So Kweon

Training a neural network is synonymous with learning the values of the weights. By contrast, we demonstrate that randomly weighted neural networks contain subnetworks which achieve impressive performance without ever training the weight…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Vivek Ramanujan , Mitchell Wortsman , Aniruddha Kembhavi , Ali Farhadi , Mohammad Rastegari

This paper addresses the understanding and characterization of residual networks (ResNet), which are among the state-of-the-art deep learning architectures for a variety of supervised learning problems. We focus on the mapping component of…

Computer Vision and Pattern Recognition · Computer Science 2018-06-25 Francois Rousseau , Ronan Fablet

Densely Connected Convolutional Networks (DenseNets) have been shown to achieve state-of-the-art results on image classification tasks while using fewer parameters and computation than competing methods. Since each layer in this…

Computer Vision and Pattern Recognition · Computer Science 2018-06-07 Andy Hess

In this work, we build a generic architecture of Convolutional Neural Networks to discover empirical properties of neural networks. Our first contribution is to introduce a state-of-the-art framework that depends upon few hyper parameters…

Computer Vision and Pattern Recognition · Computer Science 2017-03-07 Edouard Oyallon

ResNets and its variants play an important role in various fields of image recognition. This paper gives another variant of ResNets, a kind of cross-residual learning networks called C-ResNets, which has less computation and parameters than…

Computer Vision and Pattern Recognition · Computer Science 2022-11-23 Jun Liang , Songsen Yu , Huan Yang
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